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11252384 = 2511132459
BaseRepresentation
bin101010111011…
…001010100000
3210011200100222
4222323022200
510340034014
61041102212
7164433533
oct52731240
923150328
1011252384
1163960a0
123927968
13243c920
1416cca1a
15ec408e
hexabb2a0

11252384 has 48 divisors (see below), whose sum is σ = 26036640. Its totient is φ = 4719360.

The previous prime is 11252341. The next prime is 11252387. The reversal of 11252384 is 48325211.

It is a super-2 number, since 2×112523842 = 253232291366912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (11252387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3347 + ... + 5805.

It is an arithmetic number, because the mean of its divisors is an integer number (542430).

Almost surely, 211252384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11252384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13018320).

11252384 is an abundant number, since it is smaller than the sum of its proper divisors (14784256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11252384 is a wasteful number, since it uses less digits than its factorization.

11252384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2485 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 11252384 is about 3354.4573331614. The cubic root of 11252384 is about 224.0860638676.

Adding to 11252384 its reverse (48325211), we get a palindrome (59577595).

The spelling of 11252384 in words is "eleven million, two hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 2459 4576 4918 9836 19672 27049 31967 39344 54098 63934 78688 108196 127868 216392 255736 351637 432784 511472 703274 865568 1022944 1406548 2813096 5626192 11252384